@Article{ATA-34-1, author = {}, title = {On Weighted $L^p$-Approximation by Weighted Bernstein-Durrmeyer Operators}, journal = {Analysis in Theory and Applications}, year = {2018}, volume = {34}, number = {1}, pages = {1--16}, abstract = {

In the present paper, we establish direct and converse theorems for weighted Bernstein-Durrmeyer operators under weighted $L^p$−norm with Jacobi weight $w(x) = x^{\alpha}(1−x)^{\beta}$. All the results involved have no restriction $\alpha$, $\beta<1-\frac{1}{p}$, which indicates that the weighted Bernstein-Durrmeyer operators have some better approximation properties than the usual Bernstein-Durrmeyer operators.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2018.v34.n1.1}, url = {http://global-sci.org/intro/article_detail/ata/12541.html} }